Fig. 4
Comparison of treatment response of tumors characterized by same distribution parameters in Eq. (3) but centered at different α and β values. a-c Pre- and post-treatment intratumoral radiosensitivity distributions catered at different α and β combinations compared to the pre-treatment distribution in Fig. 3, dashed ellipses distribution 1 (D1), after a standard fractionation scheme of 70 Gy in 35 daily fractions at 2.0 Gy/day with weekend interruptions. Colormap represents the normalized densities of tumor cell subsets before and after treatment. The red arrows pointing from right to left represents the evolution of α and β from pre- to post-treatment values. d-f Intratumoral composition of radiosensitivity for different cell subsets in distribution 2 (D2) in (a), distribution 3 (D3) in (b) and distribution 4 (D4) in (c) before, during and after treatment. Shift in the mean values of (g) SF2 and (h) α/β ratio during treatment with respect to the pre-treatment values. Pre-treatment parameters in Eq. (3) were αc = 0.40 Gy− 1 and βc = 0.04 Gy− 2 (D2 in a), αc = 0.25 Gy− 1 and βc = 0.02 Gy− 2 (D3 in b), and αc = 0.33 Gy− 1 and βc = 0.033 Gy− 2 (D4 in c) with σα = 6.5 × 10− 2 Gy− 1 and σβ = 3.5 × 10− 3 Gy− 2